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Finding the Fourth Proportional to 13,726.05, 20,572.46 and 9,822.25

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Solution

The fourth proportional to 13,726.05, 20,572.46 and 9,822.25 is: 14,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.05 : 20,572.46 = 9,822.25 : x
  2. Step 2: Convert to fraction form
    13,726.05/20,572.46 = 9,822.25/x
  3. Step 3: Cross multiply
    13,726.05x = 20,572.46 × 9,822.25
  4. Step 4: Simplify right side
    13,726.05x = 202,067,845.24
  5. Step 5: Solve for x
    x = 202,067,845.24/13,726.05
  6. Step 6: Final answer
    x = 14,721.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.